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520970440 = 235171973889
BaseRepresentation
bin11111000011010…
…110000011001000
31100022022001002111
4133003112003020
52031332023230
6123410112104
715624114154
oct3703260310
91308261074
10520970440
1124808a891
1212657b634
1383c18143
144d294064
1530b0b92a
hex1f0d60c8

520970440 has 64 divisors (see below), whose sum is σ = 1247756400. Its totient is φ = 195084288.

The previous prime is 520970393. The next prime is 520970441. The reversal of 520970440 is 44079025.

It can be written as a sum of positive squares in 8 ways, for example, as 483736036 + 37234404 = 21994^2 + 6102^2 .

It is not an unprimeable number, because it can be changed into a prime (520970441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132016 + ... + 135904.

Almost surely, 2520970440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520970440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623878200).

520970440 is an abundant number, since it is smaller than the sum of its proper divisors (726785960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

520970440 is a wasteful number, since it uses less digits than its factorization.

520970440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 520970440 is about 22824.7768882852. The cubic root of 520970440 is about 804.6450809939.

The spelling of 520970440 in words is "five hundred twenty million, nine hundred seventy thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 197 340 394 680 788 985 1576 1970 3349 3889 3940 6698 7778 7880 13396 15556 16745 19445 26792 31112 33490 38890 66113 66980 77780 132226 133960 155560 264452 330565 528904 661130 766133 1322260 1532266 2644520 3064532 3830665 6129064 7661330 13024261 15322660 26048522 30645320 52097044 65121305 104194088 130242610 260485220 520970440